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Finding the Fourth Proportional to 14,068.04, 19,416 and 8,099.30

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Solution

The fourth proportional to 14,068.04, 19,416 and 8,099.30 is: 11,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.04 : 19,416 = 8,099.30 : x
  2. Step 2: Convert to fraction form
    14,068.04/19,416 = 8,099.30/x
  3. Step 3: Cross multiply
    14,068.04x = 19,416 × 8,099.30
  4. Step 4: Simplify right side
    14,068.04x = 157,256,008.80
  5. Step 5: Solve for x
    x = 157,256,008.80/14,068.04
  6. Step 6: Final answer
    x = 11,178.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.